Find the surface area of a 10 cm `xx` 4 cm `xx` 3 cm brick.

Options

A. 84 sq. cm
B. 124 sq. cm
C. 164 sq. cm
D. 180 sq. cm

Answer

To find the surface area of a brick with dimensions 10 cm x 4 cm x 3 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the brick:**
- Length (L) = 10 cm
- Breadth (B) = 4 cm
- Height (H) = 3 cm

2. **Write down the formula for the surface area of a cuboid:**
- The formula for the surface area (SA) of a cuboid is:
\[ SA = 2 \times (LB + BH + LH) \]

3. **Substitute the dimensions into the formula:**
- Calculate each term:
- \( LB = 10 \times 4 = 40 \)
- \( BH = 4 \times 3 = 12 \)
- \( LH = 10 \times 3 = 30 \)

4. **Add the results from the previous step:**
- Sum the products:
\[ LB + BH + LH = 40 + 12 + 30 = 82 \]

5. **Multiply the sum by 2 to find the surface area:**
- Now, calculate the surface area:
\[ SA = 2 \times 82 = 164 \text{ cm}^2 \]

6. **State the final answer:**
- The surface area of the brick is \( 164 \text{ cm}^2 \).